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Question

Evaluate
limxaa+2x3x3a+x2x(from00)

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Solution

We have,

limxaa+2x3x3a+x2x(00form)

Now, Applying L’ Hospital rule and we get,

limxa12a+2x×2123x×3123a+x2×12x

Taking limit and we get,

12a+2a×2123a×3123a+a2×12a

13a323a124a1a

2323a14a1a

2323a144a

12334

463

233onrationalize

239

Hence, this is the answer.


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